---
_id: '965'
abstract:
- lang: eng
text: We give many examples of applying Bogoliubov's forest formula to iterative
solutions of various nonlinear equations. The same formula describes an extremely
wide class of objects, from an ordinary quadratic equation to renormalization
in quantum field theory.
acknowledgement: |-
This work is supported in part by the Dynasty Foundation (M. N. S.), the
Russian Foundation for Basic Research (Grant No
s. 07-02-00878 and 07-02-00645), a joint grant (Grant
No. 06-01-92059-CE), the NWO (Project No. 047.011.2004.026), INTAS (Grant No. 05-1000008-7865), the
Program for Supporting Leading Scientific School
s (Grant No. NSh-8004.2006.2), and also by a project
(Project No. ANR-05-BLAN-0029-01, A. Yu. M.).
author:
- first_name: Alexei
full_name: Morozov, Alexei Y
last_name: Morozov
- first_name: Maksym
full_name: Maksym Serbyn
id: 47809E7E-F248-11E8-B48F-1D18A9856A87
last_name: Serbyn
orcid: 0000-0002-2399-5827
citation:
ama: Morozov A, Serbyn M. Nonlinear algebra and Bogoliubov’s recursion. Theoretical
and Mathematical Physics. 2008;154(2):270-293. doi:10.1007/s11232-008-0026-7
apa: Morozov, A., & Serbyn, M. (2008). Nonlinear algebra and Bogoliubov’s recursion.
Theoretical and Mathematical Physics. Elsevier. https://doi.org/10.1007/s11232-008-0026-7
chicago: Morozov, Alexei, and Maksym Serbyn. “Nonlinear Algebra and Bogoliubov’s
Recursion.” Theoretical and Mathematical Physics. Elsevier, 2008. https://doi.org/10.1007/s11232-008-0026-7.
ieee: A. Morozov and M. Serbyn, “Nonlinear algebra and Bogoliubov’s recursion,”
Theoretical and Mathematical Physics, vol. 154, no. 2. Elsevier, pp. 270–293,
2008.
ista: Morozov A, Serbyn M. 2008. Nonlinear algebra and Bogoliubov’s recursion. Theoretical
and Mathematical Physics. 154(2), 270–293.
mla: Morozov, Alexei, and Maksym Serbyn. “Nonlinear Algebra and Bogoliubov’s Recursion.”
Theoretical and Mathematical Physics, vol. 154, no. 2, Elsevier, 2008,
pp. 270–93, doi:10.1007/s11232-008-0026-7.
short: A. Morozov, M. Serbyn, Theoretical and Mathematical Physics 154 (2008) 270–293.
date_created: 2018-12-11T11:49:26Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T08:22:17Z
day: '01'
doi: 10.1007/s11232-008-0026-7
extern: 1
intvolume: ' 154'
issue: '2'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/hep-th/0703258
month: '01'
oa: 1
page: 270 - 293
publication: Theoretical and Mathematical Physics
publication_status: published
publisher: Elsevier
publist_id: '6437'
quality_controlled: 0
status: public
title: Nonlinear algebra and Bogoliubov's recursion
type: journal_article
volume: 154
year: '2008'
...